Blowup for Systems of Conservation Laws

DOI10.1137/S0036141099352339zbMath0969.35091MaRDI QIDQ4509599

Helge Kristian Jenssen

Publication date: 19 October 2000

Published in: SIAM Journal on Mathematical Analysis (Search for Journal in Brave)

zbMATH Keywords

rescalingblow up in the sense of sup-norm and total variation

Mathematics Subject Classification ID

Oscillation, zeros of solutions, mean value theorems, etc. in context of PDEs (35B05) Hyperbolic conservation laws (35L65)

Related Items (19)

Coherence and flow-maximization of a one-way valve ⋮ Extensions for Systems of Conservation Laws ⋮ Open Questions in the Theory of One Dimensional Hyperbolic Conservation Laws ⋮ Multidimensional Conservation Laws: Overview, Problems, and Perspective ⋮ Wave front tracking in systems of conservation laws. ⋮ Examples and conjectures on the regularity of solutions to balance laws ⋮ Lack of BV bounds for approximate solutions to the \(p\)-system with large data ⋮ On finite time BV blow-up for the p-system ⋮ Large BV solution for isentropic gas dynamics system with initial data far from vacuum ⋮ GRADIENT DRIVEN AND SINGULAR FLUX BLOWUP OF SMOOTH SOLUTIONS TO HYPERBOLIC SYSTEMS OF CONSERVATION LAWS ⋮ SYSTEMS OF HYPERBOLIC CONSERVATION LAWS WITH PRESCRIBED EIGENCURVES ⋮ LARGE-DATA SOLUTION OF A MODEL SYSTEM FOR SINGULAR SHOCKS ⋮ Hyperbolic conservation laws with large initial data. Is the Cauchy problem well-posed? ⋮ SHARPER TOTAL VARIATION BOUNDS FOR THE P-SYSTEM OF FLUID DYNAMICS ⋮ COMPRESSIBLE 1D EULER EQUATIONS WITH LARGE DATA: A CASE STUDY ⋮ HYPERBOLIC SYSTEMS OF BALANCE LAWS WITH WEAK DISSIPATION ⋮ SHOCK FORMATION IN THE COMPRESSIBLE EULER EQUATIONS AND RELATED SYSTEMS ⋮ Finite Time Singularities for Hyperbolic Systems ⋮ New interaction estimates for the Baiti-Jenssen system

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